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245919785409 = 3223271872
BaseRepresentation
bin1110010100000111110…
…1100010000111000001
3212111202120110110221100
43211001331202013001
513012120431113114
6304550214245013
723524056454254
oct3450175420701
9774676413840
10245919785409
1195326342681
123b7b2056769
131a26196352c
14bc8c97b09b
1565e49eb909
hex3941f621c1

245919785409 has 27 divisors (see below), whose sum is σ = 371384868673. Its totient is φ = 156796594152.

The previous prime is 245919785399. The next prime is 245919785413. The reversal of 245919785409 is 904587919542.

The square root of 245919785409 is 495903.

It is a perfect power (a square), and thus also a powerful number.

245919785409 is a `hidden beast` number, since 2 + 4 + 5 + 9 + 19 + 78 + 540 + 9 = 666.

It is not a de Polignac number, because 245919785409 - 27 = 245919785281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (245919715409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34213714 + ... + 34220900.

Almost surely, 2245919785409 is an apocalyptic number.

245919785409 is the 495903-rd square number.

245919785409 is the 247952-nd centered octagonal number.

It is an amenable number.

245919785409 is a deficient number, since it is larger than the sum of its proper divisors (125465083264).

245919785409 is an frugal number, since it uses more digits than its factorization.

245919785409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14426 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 245919785409 in words is "two hundred forty-five billion, nine hundred nineteen million, seven hundred eighty-five thousand, four hundred nine".

Divisors: 1 3 9 23 69 207 529 1587 4761 7187 21561 64683 165301 495903 1487709 3801923 11405769 34217307 51652969 154958907 464876721 1188018287 3564054861 10692164583 27324420601 81973261803 245919785409